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Solnce55 [7]
3 years ago
5

Solve the equation by factoring.

Mathematics
2 answers:
Delicious77 [7]3 years ago
6 0

Factorizing an expression involves writing the expression in simpler forms

The values of z are z = \frac 15 or z=4

The equation is given as:

5z^2 - 21z + 4 = 0

Expand the equation

5z^2 - 20z -z + 4 = 0

Factorize the expression:

5z(z - 4) -1(z - 4) = 0

Factor out z - 4

(5z - 1)(z - 4) = 0

Split

5z -1 = 0 or z - 4 = 0

Solve for z

z = \frac 15 or z=4

Hence, the values of z are z = \frac 15 or z=4

Read more about factorization at:

brainly.com/question/11579257

makvit [3.9K]3 years ago
6 0

I would say the answer would be D by my calculations if I'm wrong I will come back and update

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Please help me! The waves of a tsunami are traveling at 600ft/min. The waves are 25 feet high and their period is 10 minutes. Wh
tatyana61 [14]

The distance in miles between each wave and the next is 1.14 miles. The correct option is c. 1.14 miles

<h3>Calculating Wavelength </h3>

From the question, we are to determine the distance in miles between each wave and the next. That is, we should determine the wavelength.

From the formula,

v = fλ

Where v is the velocity

f is the frequency

and λ is the wavelength

We can write that

λ = v/f

From the given information,

v = 600ft/min

Now, we will determine the frequency, f

f = 1/T

Where T is the period

From the given information,

T = 10 minutes

Thus,

f = 1/10 = 0.1 min⁻¹

Now, we can determine the wavelength

λ = v/f

λ = 600/0.1

λ = 6000 ft

Now, convert 6000 ft to miles

NOTE: 5280 ft = 1 mile

∴ 6000 ft = 6000/5280 miles

6000 ft = 1.14 miles

Hence, the distance in miles between each wave and the next is 1.14 miles. The correct option is c. 1.14 miles

Learn more on Calculating wavelength here: brainly.com/question/11281839

#SPJ1

4 0
2 years ago
Jon weighs 148 lbs and hopes to gain 2 pounds a week. Matt weighs 193 lbs and hopes to lose 1 lb a week. How many weeks until th
just olya [345]
The answer is 46 weeks
7 0
3 years ago
What is the volume of the sphere shown below radius of 13
horsena [70]

The volume of a sphere with radius V=\frac{4\pi}{3} r^3.

Here the radius is r=13. The volume is

V=\frac{4\pi}{3} (13)^3\\ V=9,202.77\;square \; units

7 0
3 years ago
Read 2 more answers
 Rearrange the formula y = mx + b for m.
jenyasd209 [6]
X=(y-b)/m........ . . . .
7 0
4 years ago
Read 2 more answers
Write an equation for each translation of y=|x| .
bija089 [108]

Answer:

y = |x| -13

Step-by-step explanation:

recall for any function y = f(x), to translate the function vertically by any value "a", we simply have to add "a" to f(x).

If a is positive, then the graph is translated in the positive y-direction (i.e upwards), if a is negative, then the graph is translated in the negative y-direction (i.e downwards)

In our case , the graph is translated vertically by 13 units (i.e a = 13) and it is to be translated downwards (i.e negative)

hence we add a= -13 to the original function.

y = f(x) + (-13)

y = |x| + (-13)

y = |x| -13

7 0
3 years ago
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